INTEREST: a reference-point-based interactive procedure for stochastic multiobjective programming problems

INTEREST: a reference-point-based interactive procedure for stochastic multiobjective programming problems

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Article ID: iaor200973155
Country: Germany
Volume: 32
Issue: 1
Start Page Number: 195
End Page Number: 210
Publication Date: Jan 2009
Journal: OR Spectrum
Authors: , ,
Keywords: programming: probabilistic
Abstract:

This paper presents a reference point-based interactive algorithm, which has been specifically designed to deal with stochastic multiobjective programming problems. This algorithm combines the classical information used in this kind of methods, i.e. values that the decision maker regards as desirable for each objective, with information about the probabilities the decision maker wishes to accept. This novel aspect allows the method to fully take into account the randomness of the final outcome throughout the whole solution process. These two pieces of information have been introduced in an adapted achievement-scalarizing function, which assures each solution obtained to be probability efficient.

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